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Finding the Fourth Proportional to 689.91, 1,035.03 and 202.95

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Solution

The fourth proportional to 689.91, 1,035.03 and 202.95 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,035.03 = 202.95 : x
  2. Step 2: Convert to fraction form
    689.91/1,035.03 = 202.95/x
  3. Step 3: Cross multiply
    689.91x = 1,035.03 × 202.95
  4. Step 4: Simplify right side
    689.91x = 210,059.34
  5. Step 5: Solve for x
    x = 210,059.34/689.91
  6. Step 6: Final answer
    x = 304.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.